What is implicit (dy)/(dx),y=7x^{-4} ?

The answer to implicit (dy)/(dx),y=7x^{-4} is (dy)/(dx)=-(28)/(x^5)

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implicit (dy)/(dx),y=7x^{-4}

implicit derivative

\frac{d y}{d x}, y = 7 x^{- 4}

\frac{d y}{d x} = - \frac{28}{x ^{5}}

Solution steps

y = 7 x^{- 4}

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = - \frac{28}{x ^{5}}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{28}{x ^{5}}

\frac{d y}{d x} = - \frac{28}{x ^{5}}

What is implicit (dy)/(dx),y=7x^{-4} ?
The answer to implicit (dy)/(dx),y=7x^{-4} is (dy)/(dx)=-(28)/(x^5)